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    Question

    A circle has its area eleven times greater than its

    circumference in numeric value. Find the circle’s diameter.
    A 28 units Correct Answer Incorrect Answer
    B 44 units Correct Answer Incorrect Answer
    C 36 units Correct Answer Incorrect Answer
    D 24 units Correct Answer Incorrect Answer

    Solution

    ATQ,

    Circumference = 2 × π × r

    Area = π × r²

    Let radius = r units

    π × r² = 11 × 2 × π × r

    ⇒ r² = 22r

    ⇒ r = 22

    Diameter = 2 × 22 = 44 units

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